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Finding the Fourth Proportional to 710.64, 977.60 and 579.36

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Solution

The fourth proportional to 710.64, 977.60 and 579.36 is: 797.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.64 : 977.60 = 579.36 : x
  2. Step 2: Convert to fraction form
    710.64/977.60 = 579.36/x
  3. Step 3: Cross multiply
    710.64x = 977.60 × 579.36
  4. Step 4: Simplify right side
    710.64x = 566,382.34
  5. Step 5: Solve for x
    x = 566,382.34/710.64
  6. Step 6: Final answer
    x = 797.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.